Question

Find the midline of the function...?

I typed in the function in mathway and found out that, the max is -0.5 and the min is -6.5 so the midline is y=-3.5.

What are the steps in simplifying this function in order to graph and find the midline?

Answer 1

I start by rewriting as follows

`y = (6cos(6t))/2 - 7/2`

`y= 3cos(6t) - 7/2`

To find the midline, all we need to know is our `d` value, or vertical displacement. Here the vertical displacement is `d = -7/2 = -3.5`, which is indeed our midline.

Hopefully this helps!